Select the correct order for solving a pair of linear e
Select the correct order for solving a pair of linear equations in two variables by elimination method.
i) Add or subtract one equation from the other so that one variable gets eliminated.
ii) Multiply both the equations by any non-zero constant to make the coefficients of any one of the variables numerically equal.
iii) Substitute the obtained value in either of the original equations to get the value of the other variable.
iv) Solve the equation in one variable thus obtained to get its value.
A.
(i), (iv), (ii), (iii)
B.
(ii), (i), (iii), (iv)
C.
(i), (iv), (iii), (ii)
D.
(ii), (i), (iv), (iii)
Please scroll down to see the correct answer and solution guide.
Right Answer is: D
SOLUTION
The following is the correct order of the steps that need to be followed while solving the equations using method of elimination.
Step 1: First Multiply both the equations by any non-zero constant to make the coefficients of any one of the variables numerically equal.
Step2: Add or subtract one equation from the other so that one variable gets eliminated.
Step 3: Solve the equation in one variable thus obtained to get its value.
Step 4: Substitute the obtained value in either of the original equations to get the value of the other variable.